Question

Here is a system of equations. y=2x-1 y=-x-4 Graph the system. Then write its solution. Note that you can also answer "No solution" or "Infinitely many" solutions.​

Answer 1

The solution of the given system is: (-1,-3)

Explanation:

Given equations are:

`y = 2x-1\\y = -x-4`

Solving a system using graph means plotting the lines represented by the system of equations and then finding out where the lines intersect. If the lines intersect at only one point, that point is solution of the system.

We have used the online graphing calculator "Desmos" plot the lines.

Manually, the points can be obtained by substituting values of x in both equations

In the attached picture, the red line represents the first equation and the blue line represents the second. Both lines intersect at (-1,-3)

Hence,

The solution of the given system is: (-1,-3)